Place washed poblanos on a baking sheet. Brush with oil. Place under preheated broiler set on high for 15-18 minutes, turning over halfway through cooking time. Place poblanos in a plastic bag to steam and cool for 10 minutes. When ready, remove stems and seeds. Peel away blistered skins, then slice into strips. Set aside. Multi tasking id the key to getting this and many recipes done in a timely manner.
Add the tomatillos, serrano peppers, 1/3 section of onion and 3 cloves of garlic to a sauce pan. Cover with water. At medium heat, bring ingredients to a boil. Reduce the heat and continue cooking for 8-9 minutes.
Using tongs or a slotted spoon, transfer salsa ingredients to the blender jar. Add the bouillon, salt to taste, pinch of pepper and cilantro. Pour in 1 3/4 cups of the reserved cooking water. Blend on high until very smooth. Set aside.
In a large heavy pot at medium heat, preheat 2 tablespoons of avocado or olive oil. After a few minutes, add the sliced chicken. Season with 1 teaspoon each of salt and pepper. Stir well. Continue cooking, stirring as needed for 6-7 minutes.
To the chicken, add the onions and garlic. Stir well and saute for 3 minutes. Mix in the crushed oregano and cumin. Mix in the chayote and continue cooking for 5 minutes.
Pour in the salsa from the blender into the pot. Stir well to combine. Reduce heat to below medium and continue cooking until chayotes are fork tender. Taste for salt.
Once chayotes are tender, add the Mexican squash(or zucchini) and poblano strips. Stir well to combine. Continue cooking for 20 minutes. Serve over rice with beans. Or toss in some cooked pasta with finely grated cotija cheese and crema! Two options!